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Lemur [1.5K]
4 years ago
15

[NEW ONE] Find the acute angle that satisfies the given equation

Mathematics
1 answer:
OLga [1]4 years ago
5 0

Answer:

The answer to your question is  30°; 1/6 π rad

Step-by-step explanation:

Data

cot Ф = 1/\sqrt{3}

Process

1.- Here we have a special angle which adjacent side is \sqrt{3} and its opposite side is 1.

This angle is 30° which hypotenuse is 2.

2.- Convert 30° to radians

                    πrad ---------------- 180°

                     x       ---------------   30°

                     x = (30 x π)/180

                     x = 30/180 π rad

                     x = 3/18 π rad

                     x = 1/6 π rad

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Mama L [17]
I believe the answer is 2 3/7    I hope I could help

8 0
3 years ago
Suppose that the mean and standard deviation of the scores on a statistics exam are 78 and 6.11, respectively, and are approxima
kiruha [24]

Answer:

0.7422 = 74.22% of scores are above 74.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 78, \sigma = 6.11

Calculate the proportion of scores above 74.

This is 1 subtracted by the pvalue of Z when X = 74. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{74 - 78}{6.11}

Z = -0.65

Z = -0.65 has a pvalue of 0.2578

So 1-0.2578 = 0.7422 = 74.22% of scores are above 74.

8 0
4 years ago
if a supplement of an angle has a measure 78 less than the measure of the angle, what are the measures of the angles?
Citrus2011 [14]

Answer:

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7 0
3 years ago
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anygoal [31]
(Hard to put it in words for me so here is a picture)

Or you can use point-slope form (y-y_{1} =m(x- x_{1} )) and insert the slope of -2 and the point (3,6) like this:
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And simplify if needed.

Have a great day!

7 0
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Step-by-step explanation:

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I can’t guarantee that this is right but I think it is

hopefully it’s helpful

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